564032 has 28 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 241536.

The previous prime is 564017. The next prime is 564041. The reversal of 564032 is 230465.

564032 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 563995 and 564013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

2⁵⁶⁴⁰³² is an apocalyptic number.

It is an amenable number.

564032 is an abundant number, since it is smaller than the sum of its proper divisors (716128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564032 is a wasteful number, since it uses less digits than its factorization.

564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 564032 is about 751.0206388642. The cubic root of 564032 is about 82.6230548085.

Adding to 564032 its reverse (230465), we get a palindrome (794497).

The spelling of 564032 in words is "five hundred sixty-four thousand, thirty-two".